2. (6) The probability distribution below is for the random variable X = number of mice
caught in traps during a single night in small apartment building.
a. Find P(X = 2)
0
X
P(X) 0.12
1
0.20
2
h
3
4
0.14 0.16
b. Describe P(X ≥ 2)in words and find its value.
5
0.07
c. Find μx and ox. Show work. You may use your calculator to check solutions.

Answer:

3.5(11) means 3.5 times 11? in that case

Step-by-step explanation:

first one roughly = 35+19+16....then you can see 77 is the closest, even without calcatulor

second one precisely==20+33+5+38.....then you can see that 90 is roughly the closest one, again even without to add those 4 togetherly precisely

Answer:

Point I and Point II may not need to be main points.

Ann's main points are not balanced.

Parallel structure will not work with Ann's speech topic.

Step-by-step explanation:

This division indicates that Ann prioritized Point III above Points I and II. Point III was allocated the most of Ann's time (75%), while Point I and II were each given 10% and 15%, respectively. This is a sign that Ann placed a higher priority on Point III.

In terms of the actual percentages, this could indicate a variety of things. It could mean that Ann felt Point III was more important than the other two points, or that Point III took more time to complete than the other two points. It could also mean that Ann was trying to achieve a specific ratio of her time dedicated to each point.
Regardless of the reasoning, this division of Ann's time shows that she placed a higher priority on Point III. This could mean that Point III was more important to her overall goal than the other two points, or that Point III required a larger amount of her time.

By understanding this division of Ann's time, we can gain insight into what she felt was important, and how she chose to prioritize her time. This can be used to better understand Ann's thought process and her overall goal.

To know more about division  refer here:

https://brainly.com/question/13624233

#SPJ11

Answer: 40 minutes

Step-by-step explanation:

It takes 16 minutes for the first 2 stations to water their sections which means that the time taken per station is:

= 16/2

= 8 minutes per station

Ms. Reynolds has 5 stations.

Total time taken will therefore be:

= 8 * 5

= 40 minutes

Answer:

4n+2=15

Step-by-step explanation:

If you count 4 n's and then add 2, the bar is the same length as the 15 bar. ~logic~

Answer:

  y = 4

Step-by-step explanation:

The graph passes through the point (3, 4), which means that the value of the function is 4 when x=3.

The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.

A correlation coefficient measures the strength and direction of the linear relationship between two variables.

In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.

Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.

However, it is important to note that correlation does not imply causation.

It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.

Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.

To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.

Learn more about correlation coefficient here:

https://brainly.com/question/29208602

#SPJ11

i. The capacitance of the capacitor is approximately 53.1 nF. ii. The magnitude of charge on each plate is approximately 6.372 μC. iii. The new capacitance with acrylic between the plates is approximately 318.6 nF. iv. The flux density for the capacitor is approximately 1.2712 μC/m².

i. To determine the value of capacitance for the parallel plate capacitor, we can use the formula:

C = ε₀ * (A / d),

where C is the capacitance, ε₀ is the permittivity of vacuum (8.85 x 10^(-12) F/m), A is the cross-sectional area of the plates, and d is the separation between the plates.

Plugging in the given values:

A = 6 x 10^3 m²,

d = 5 mm = 5 x 10^(-3) m,

C = (8.85 x 10^(-12) F/m) * (6 x 10^3 m²) / (5 x 10^(-3) m)

  = 53.1 x 10^(-9) F

  = 53.1 nF.

Therefore, the capacitance of the capacitor is approximately 53.1 nF.

ii. The magnitude of charge on each plate can be determined using the formula:

Q = C * V,

where Q is the charge, C is the capacitance, and V is the voltage.

Plugging in the given values:

C = 53.1 x 10^(-9) F,

V = 120 V,

Q = (53.1 x 10^(-9) F) * (120 V)

  = 6.372 x 10^(-6) C.

Therefore, the magnitude of charge on each plate is approximately 6.372 μC.

iii. If acrylic is placed between the plates, the relative permittivity (εᵣ) of the medium affects the capacitance. The formula for the capacitance with a dielectric material is:

C' = εᵣ * C,

where C' is the new capacitance with the dielectric, εᵣ is the relative permittivity of the dielectric material, and C is the initial capacitance without the dielectric.

Plugging in the given values:

εᵣ (acrylic) = 6,

C (without dielectric) = 53.1 x 10^(-9) F,

C' = 6 * (53.1 x 10^(-9) F)

   = 318.6 x 10^(-9) F

   = 318.6 nF.

Therefore, the new capacitance with acrylic between the plates is approximately 318.6 nF.

iv. The flux density (D) for the capacitor can be calculated using the formula:

D = ε₀ * εᵣ * E,

where D is the flux density, ε₀ is the permittivity of vacuum (8.85 x 10^(-12) F/m), εᵣ is the relative permittivity of the dielectric material, and E is the electric field strength.

In the case of a parallel plate capacitor, the electric field strength is given by:

E = V / d,

where V is the voltage applied to the capacitor and d is the separation between the plates.

Plugging in the given values:

ε₀ = 8.85 x 10^(-12) F/m,

εᵣ (acrylic) = 6,

V = 120 V,

d = 5 x 10^(-3) m,

E = (120 V) / (5 x 10^(-3) m)

  = 24,000 V/m.

D = (8.85 x 10^(-12) F/m) * (6) * (24,000 V/m)

  = 1.2712 x 10^(-6) C/m².

Therefore, the flux density for the capacitor is approximately 1.2712 μC/m².

Learn more about flux density here:

https://brainly.com/question/28499883

#SPJ11

Answer:

(x,y) (1, -4)

Step-by-step explanation:

3x-7= -4x

x=1

y= -4x1

y= -4

(x,y) (1, -4)

can i be brainliest

Step-by-step explanation:

none of the graphs that we can see here.

the first are 2 parallel lines. they never cross, so there is no solution at all.

and the second one is seemingly only one line. well a line goes on infinitely, and every point on it is a solution to the line equation. so, this has infinite many solutions.

The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

Learn more about multiple regression model here:

brainly.com/question/32816836

#SPJ11

Answer:

A and E

Step-by-step explanation:

The ratio of the hypotenuse to the shorter leg to the longer leg is 2:1: root 3

Answer:

A. and E.

Step-by-step explanation:

The length of the hypotenuse is always double the length of the shortest leg and you can find the long leg by multiplying the short by the square of 3.

The term used in a confidence interval that accounts for the standard error of the estimator and the desired confidence level of the interval is called the "margin of error." Margin of error incorporates the variability of the sample estimator, usually measured by the standard error, and the desired confidence level, expressed as a percentage (e.g., 95% confidence level).

In a confidence interval, the margin of error is used to determine the range within which the true population parameter is likely to fall. It is calculated by multiplying the standard error by a critical value, which is determined based on the desired confidence level. For instance, in a 95% confidence interval, the critical value is typically 1.96, derived from the standard normal distribution.

By including the margin of error in the calculation, the confidence interval provides an estimate of the population parameter that accounts for the uncertainty inherent in using a sample to make inferences about a larger population. The larger the margin of error, the wider the confidence interval, indicating greater uncertainty in the estimate. Conversely, a smaller margin of error suggests a more precise estimate.

In summary, the margin of error is a crucial component of confidence intervals, as it combines the standard error of the estimator and the desired confidence level to quantify the uncertainty in the estimate and provide a range within which the true population parameter is likely to lie.

To know more about margin of error, refer to the link below:

https://brainly.com/question/17070397#

#SPJ11

Answer:

42

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

The given statement "The q-system of inventory submits inventory orders at random times" is true because it is based on the q-model's assumption that demand is random and that inventory is replenished when it falls to a certain level.

The q-system of inventory, also known as the q-model or the reorder point system, is a method of inventory control that sets a reorder point (q) at which inventory is replenished.

The system assumes that demand for inventory is random and that inventory is replenished when it falls to the q-level. Since demand is random, orders will be submitted at random times based on the inventory level, and not according to a predetermined schedule.

Therefore, the given statement is true because the q-system of inventory submits inventory orders at random times based on the random demand for inventory.

For more questions like Inventory click the link below:

https://brainly.com/question/14184995

#SPJ11

When we have two large independent samples from two populations, the difference in the two sample means will follow an approximate normal distribution.

This is due to the central limit theorem, which states that when we have a large enough sample size (typically, greater than 30), the distribution of the sample means will be normal regardless of the underlying distribution of the populations. As the two samples are independent, the difference in means will also be independent. Therefore, we can use the normal distribution to estimate the probability of observing a certain difference in means. It is important to note that this approximation may not hold for small sample sizes, and the underlying distributions of the populations can also impact the shape of the distribution. We can say that the normal distribution approximation is widely used in statistics and hypothesis testing, making it an essential concept for understanding and interpreting data.

To know more about Populations visit:

https://brainly.com/question/31598322

#SPJ11

Answer:

Which is equivalent to the expression 8x(3x+7)

=24x^2 + 56x

Step-by-step explanation:

Distribute the expression

8x(3x+7)

8 * 3 =24

  \/

24x

8x7=56

 \/

56x

there are 2 numbers sooo

24x^2 + 56 is your answer

Answer:

24x²+56x

Step-by-step explanation:

I got this answer

Answer:

3000cm3

Step-by-step explanation:

(a) Length =10cm, breadth =8cm, height =3cm

Volume of cuboid =lbh=10×8×3=240cm  

3

[V=240cm  3 ]

(b) Length =1.5m, breadth =25cm, height =15cm

[1m=100cm]

Volume of cuboid =lbh=150×25×15=56250

[V=56,250cm3 ]

(c) Length =15cm, breadth=2.5dm, height =8cm

[1dm]=10cm

Volume of cuboid =lbh=15×25×8

[V=3000cm3 ].

Step-by-step explanation:

The correct alternative hypothesis for the Wilcoxon rank sum test is: ha: one distribution is shifted in a location higher or lower than the other. Option C is the answer.

This means that the test is designed to determine if there is a significant difference between the medians of two independent groups, rather than testing for a difference in means.

The null hypothesis for the test is that there is no significant difference between the two groups, while the alternative hypothesis states that there is a significant difference.

The Wilcoxon rank sum test is a nonparametric test and is used when the assumptions of the t-test are not met, such as non-normality or unequal variances.

Learn more about the alternative hypothesis at

https://brainly.com/question/27335001

#SPJ4

Answer: x=(±2√21)-8

Step-by-step explanation:

Add 104 to both sides so we can get x^2+16x+64

x^2+16x+64=104

then factor

(x+8)^2=104

square root both sides

x+8=±√104

simplifying the radical and subtracting 8 gets us this

x=(±2√21)-8

Hope this helps!

\(\tt{Hey!\)

\(\tt{Explanation:\)

\(5x-3(4x-6)\)

\(\tt{Distribute:\)

\(5x+(-3)(4x)+(-3)(-6)\\5x+-12x+18\)

\(\tt{Combine\)  \(\tt{like\)  \(\tt{terms:\)

\((5x+-12x)+(18)\\\)

\(\boxed{\tt{-7x+18}}\)

\(\tt{Hope\) \(\tt{this\) \(\tt{helps!\)

Answer:

x = 37.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 63 = x /19

19 tan 63 =x

x=37.28959

To the nearest tenth

x = 37.3

Answer:

17,19,21

Step-by-step explanation:

let the first odd number be "x"

formular : (x)+(x+2)+(x+4).

3x+6=57

3x=57-6

3x=51

x=51/3

x=17

apply the formular.

17,(17+2),(17+4)

17,19,21.

Answer:

480 students

Step-by-step explanation:

if we know that each bus transports 40 students and there are 12 buses each day then we can just multiply 12 by 40 and we get 480

The correct answer is option ii. Hasty generalization.

The given scenario represents an example of a hasty generalization. A hasty generalization is a fallacy that occurs when an individual makes a conclusion based on inadequate evidence. It usually involves making assumptions about a large population from a tiny sample size.

In this scenario, the high school principal makes a hasty generalization when he conducts a satisfaction survey on students in detention and concludes that 79% of students are dissatisfied with their high school experience.The sample size of students in detention does not represent the whole student population and therefore does not provide a good representation of the overall student experience.

In other words, the principal made a generalization based on a sample that does not represent the general population. Thus, the correct answer is option ii. Hasty generalization. Hence, the scenario represents a hasty generalization because the principal made a generalization based on a small sample size that does not represent the whole student population.

Learn more about Hasty generalization here,

https://brainly.com/question/11311068

#SPJ11

The height of the tower after adding 1 more box to it is 144 cm.

The current height of the tower can be determined using division, addition, and multiplication.

Division, addition, and multiplication are three of the four basic mathematical operations, including subtraction.

The number of identical cube-shaped boxes stacked = 8 boxes

The height of the 8 boxes = 128 cm

The height of each of the 8 boxes = 16 cm (128 ÷ 8)

The number of the additional box added to the tower = 1

The current number of boxes = 9 (8 + 1)

The total height after adding the additional box = 144 cm (9 x 16)

Thus, after adding 1 more box, Ella's tower has a height of 144 cm.

Learn more about mathematical operations at https://brainly.com/question/4721701.

#SPJ1

Answer:

$71.75

Rounded : $72

Step-by-step explanation:

To budget for gasoline this month, you can calculate the average amount spent on gasoline over the past four months:

Average = (67 + 78 + 53 + 89) / 4 = amount you should budget (x)

Average = 287 / 4 = x

71.75 = x

(Answer Rounded if that’s what you need but you didn’t ask: $72)

Therefore, you should budget around $71.75 or $ 72 for gasoline this month, assuming your driving habits and gas prices remain relatively constant. However, keep in mind that unexpected changes in gas prices or driving habits may affect your actual spending.

Answer:

───▄▀▀▀▄▄▄▄▄▄▄▀▀▀▄───COPY PASTE ME AND FIGHT BOB!!!

───█▒▒░░░░░░░░░▒▒█───I am TACO I AM THE NEW WAY

────█░░█░░░░░█░░█────Join my kingdom:

─▄▄──█░░░▀█▀░░░█──▄▄─https://pad let.com/tristajm32/meow

█░░█─▀▄░░░░░░░▄▀─█░░█

Step-by-step explanation: